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Finding the Third Proportional to 66,654 and 140,802

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Solution

The third proportional to 66,654 and 140,802 is: 297,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,654 : 140,802 = 140,802 : x
  2. Step 2: Convert to fraction form
    66,654/140,802 = 140,802/x
  3. Step 3: Cross multiply
    66,654x = 140,802 × 140,802
  4. Step 4: Simplify right side
    66,654x = 19,825,203,204
  5. Step 5: Solve for x
    x = 19,825,203,204/66,654
  6. Step 6: Final answer
    x = 297,434.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.